Properties

Label 9792.2.dh
Level $9792$
Weight $2$
Character orbit 9792.dh
Rep. character $\chi_{9792}(145,\cdot)$
Character field $\Q(\zeta_{8})$
Dimension $712$
Sturm bound $3456$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 9792 = 2^{6} \cdot 3^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 9792.dh (of order \(8\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 272 \)
Character field: \(\Q(\zeta_{8})\)
Sturm bound: \(3456\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(9792, [\chi])\).

Total New Old
Modular forms 7040 728 6312
Cusp forms 6784 712 6072
Eisenstein series 256 16 240

Decomposition of \(S_{2}^{\mathrm{new}}(9792, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

Decomposition of \(S_{2}^{\mathrm{old}}(9792, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(9792, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(272, [\chi])\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(816, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1088, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2448, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3264, [\chi])\)\(^{\oplus 2}\)